Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
4x + 12 = 4*15
Now just solve for x as u normally would
4x + 12 = 60
(Subtract twelve from both sides)
4x = 48
(Divide both sides by 4 to isolate x)
x = 12
I hope this somewhat helped :)
Was my explanation clear enough?
Answer:
Step-by-step explanation:
Let us apply the distributive property to find an equivalent expression for:
For all real numbers a, b, and c, the distributive property says that:
We apply this property to get:
We simplify the RHS to get:
Answer:
51 calories per serving
Step-by-step explanation:
Take the total number of calories and divide by the number of servings
408 calories / 8 servings
51 calories per serving
Answer:
z = 5
x = 0
x = 1
Step-by-step explanation:
(z - 5)x^2 - (z - 5)x = 0 Take out z - 5 as a common factor
(z - 5)(x^2 - x) Take out x as a common factor
(z - 5)(x)(x - 1) Any one of these could equal 0. There are 3 solutons.
z - 5 = 0 Add 5 to both sides
z - 5 + 5 = 0 + 5
z = 5
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x = 0
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x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
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